在二维皮肤组织中使用固有值方法的通用热力学相互作用
Ibrahim A Abbas1, Alaa A El-Bary2, Adil O Y Mohamed3
1Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.
Journal of thermal biology
|December 27, 2023
概括
这项研究分析了皮肤组织.
科学领域:
- 生物医学工程 生物医学工程
- 热分析 热分析
- 连续力学 连续力学
背景情况:
- 了解皮肤的热力学反应对于热疗法至关重要.
- 需要准确的建模,以避免在传热和机械效应方面做出不切实际的预测.
- 像Pennes这样的现有模型在某些条件下可能会产生不切实际的结果.
研究的目的:
- 在瞬间加热下分析研究二维皮肤组织的热力学行为.
- 应用拉普拉斯和富里埃转换来分析传热和热力学效应.
- 为了进行癌症治疗,模拟经过区域热量过高的人类组织.
主要方法:
- 对二维皮肤组织的分析研究.
- 拉普拉斯和富里埃积分转换的应用.
- 使用Stehfest方法对变换反转的数值反转.
主要成果:
- 血 perfusion 速率和热放松时间显著影响热力学分布.
- 热力学波在皮肤组织内传播到有限的距离.
- 与Pennes模型相比,该模型提供了更现实的预测.
结论:
- 这项研究为皮肤对加热的热力学反应提供了一个精细的分析模型.
- 研究结果强调了热疗法中输血和热放松时间的重要性.
- 开发的模型减轻了与更简单的传热模型相关的不现实的预测.
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